English

Noncommutative Field Theories and Smooth Commutative Limits

High Energy Physics - Theory 2009-10-31 v1

Abstract

We consider two model field theories on a noncommutative plane that have smooth commutative limits. One is the single-component fermion theory with quartic interaction that vanishes identically in the commutative limit. The other is a scalar-fermion theory, which extends the scalar field theory with quartic interaction by adding a fermion. We compute the bound state energies and the two particle scattering amplitudes exactly.

Keywords

Cite

@article{arxiv.hep-th/0006087,
  title  = {Noncommutative Field Theories and Smooth Commutative Limits},
  author = {Dongsu Bak and Sung Ku Kim and Kwang-Sup Soh and Jae Hyung Yee},
  journal= {arXiv preprint arXiv:hep-th/0006087},
  year   = {2009}
}

Comments

8 pages, 2 figures

R2 v1 2026-07-22T14:58:30.204Z